Pulsating Fronts in a 2D Reactive Boussinesq System

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4 Scopus citations

Abstract

We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.

Original languageEnglish (US)
Pages (from-to)1555-1595
Number of pages41
JournalCommunications in Partial Differential Equations
Volume39
Issue number8
DOIs
StatePublished - Aug 2014
Externally publishedYes

Keywords

  • Front propagation
  • Pulsating fronts
  • Reaction-advection-diffusion equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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